AXIOMATICSYSTEM

Axiomatic system

In mathematics, an axiomatic system is any set of axioms from which some or all axioms can be used in conjunction to logically derive theorems. A mathematical theory consists of an axiomatic system and all its derived theorems. An axiomatic system that is completely described is a special kind of formal system; usually though, the effort towards complete formalisation brings diminishing returns in certainty, and a lack of readability for humans. A formal theory typically means an axiomatic system, for example formulated within model theory. A formal proof is a complete rendition of a mathematical proof within a formal system.

The above text is a snippet from Wikipedia: Axiomatic system
and as such is available under the Creative Commons Attribution/Share-Alike License.

axiomatic system

Noun

  1. A set of axioms from which theorems can be derived.


The above text is a snippet from Wiktionary: axiomatic system
and as such is available under the Creative Commons Attribution/Share-Alike License.

Need help with a clue?
Try your search in the crossword dictionary!